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Finding the Third Proportional to 156,089 and 335,875

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Solution

The third proportional to 156,089 and 335,875 is: 722,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,089 : 335,875 = 335,875 : x
  2. Step 2: Convert to fraction form
    156,089/335,875 = 335,875/x
  3. Step 3: Cross multiply
    156,089x = 335,875 × 335,875
  4. Step 4: Simplify right side
    156,089x = 112,812,015,625
  5. Step 5: Solve for x
    x = 112,812,015,625/156,089
  6. Step 6: Final answer
    x = 722,741.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.